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1201114220 = 2253110119181
BaseRepresentation
bin100011110010111…
…1000110001101100
310002201002220221212
41013211320301230
54424441123340
6315104013552
741523205505
oct10745706154
93081086855
101201114220
11566aa7989
122963012b8
13161ac4697
14b573dbac
15706aaa65
hex47978c6c

1201114220 has 48 divisors (see below), whose sum is σ = 2629622016. Its totient is φ = 460320000.

The previous prime is 1201114207. The next prime is 1201114231. The reversal of 1201114220 is 224111021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1201114195 and 1201114204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53030 + ... + 72210.

It is an arithmetic number, because the mean of its divisors is an integer number (54783792).

Almost surely, 21201114220 is an apocalyptic number.

1201114220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314811008).

1201114220 is an abundant number, since it is smaller than the sum of its proper divisors (1428507796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1201114220 is a wasteful number, since it uses less digits than its factorization.

1201114220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19322 (or 19320 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1201114220 is about 34657.0948003436. The cubic root of 1201114220 is about 1062.9873661699.

Adding to 1201114220 its reverse (224111021), we get a palindrome (1425225241).

The spelling of 1201114220 in words is "one billion, two hundred one million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 2020 3131 6262 12524 15655 19181 31310 38362 62620 76724 95905 191810 383620 594611 1189222 1937281 2378444 2973055 3874562 5946110 7749124 9686405 11892220 19372810 38745620 60055711 120111422 240222844 300278555 600557110 1201114220